Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 496, 494, 469, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 494, 469, 397 is 1
GCD(496, 494, 469, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 494, 469, 397 is 1
GCD(496, 494, 469, 397) = 1
Given Input numbers are 496, 494, 469, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 496, 494, 469, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 494, 469, 397 is 1.
Therefore, GCD of numbers 496, 494, 469, 397 is 1
Given Input Data is 496, 494, 469, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 469 is 7 x 67
Prime Factorization of 397 is 397
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(496, 494) = 122512
GCD(496, 494) = ( 496 x 494 ) / 122512
GCD(496, 494) = 245024 / 122512
GCD(496, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 469) = 938
GCD(2, 469) = ( 2 x 469 ) / 938
GCD(2, 469) = 938 / 938
GCD(2, 469) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 496, 494, 469, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 494, 469, 397?
GCD of 496, 494, 469, 397 is 1
2. Where do I get the detailed procedure to find GCD of 496, 494, 469, 397?
You can find a detailed procedure to find GCD of 496, 494, 469, 397 on our page.
3. How to find GCD of 496, 494, 469, 397 on a calculator?
You can find the GCD of 496, 494, 469, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.